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190166016 = 2103103601
BaseRepresentation
bin10110101010110…
…11010000000000
3111020211102201210
423111123100000
5342140303031
630511530120
74466245605
oct1325332000
9436742653
10190166016
11983865a7
1253829940
1330523191
141b3826ac
1511a65746
hexb55b400

190166016 has 88 divisors (see below), whose sum is σ = 512634304. Its totient is φ = 62668800.

The previous prime is 190165993. The next prime is 190166017. The reversal of 190166016 is 610661091.

It is a happy number.

It is a super-2 number, since 2×1901660162 = 72326227282624512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190166017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316116 + ... + 316716.

Almost surely, 2190166016 is an apocalyptic number.

190166016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256317152).

190166016 is an abundant number, since it is smaller than the sum of its proper divisors (322468288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190166016 is a wasteful number, since it uses less digits than its factorization.

190166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 190166016 is about 13790.0694704559. The cubic root of 190166016 is about 575.0570993076.

The spelling of 190166016 in words is "one hundred ninety million, one hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 512 601 618 768 824 1024 1202 1236 1536 1648 1803 2404 2472 3072 3296 3606 4808 4944 6592 7212 9616 9888 13184 14424 19232 19776 26368 28848 38464 39552 52736 57696 61903 76928 79104 105472 115392 123806 153856 158208 185709 230784 247612 307712 316416 371418 461568 495224 615424 742836 923136 990448 1485672 1846272 1980896 2971344 3961792 5942688 7923584 11885376 15847168 23770752 31694336 47541504 63388672 95083008 190166016